Final answer:
The sentence 'Close the door on your way out.' is an option B: imperative sentence, providing a command with an implied subject 'you'.
Step-by-step explanation:
The sentence in question, "Close the door on your way out," is an example of an imperative sentence. This type of sentence is used to give instructions or commands. In this case, it's instructing someone to take an action, specifically to close the door. The subject 'you' is implied but not explicitly stated.
We can identify imperative sentences because they often end with a period and do not require a subject to be present in the sentence. They are different from interrogative sentences, which ask a question; declarative sentences, which make a statement; and exclamatory sentences, which express a strong emotion.